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54495744 = 293172087
BaseRepresentation
bin1100111111100…
…0101000000000
310210112200002220
43033320220000
5102422330434
65224011040
71231130502
oct317705000
9123480086
1054495744
1128841506
1216300a80
13b3a0804
147347d72
154bb6d49
hex33f8a00

54495744 has 80 divisors (see below), whose sum is σ = 153793728. Its totient is φ = 17088512.

The previous prime is 54495733. The next prime is 54495751. The reversal of 54495744 is 44759445.

It is a super-2 number, since 2×544957442 = 5939572228227072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54495696 and 54495705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25069 + ... + 27155.

Almost surely, 254495744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76896864).

54495744 is an abundant number, since it is smaller than the sum of its proper divisors (99297984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54495744 is a wasteful number, since it uses less digits than its factorization.

54495744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2109 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 54495744 is about 7382.1232717965. The cubic root of 54495744 is about 379.1294568699.

The spelling of 54495744 in words is "fifty-four million, four hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2087 2176 3264 4174 4352 6261 6528 8348 8704 12522 13056 16696 25044 26112 33392 35479 50088 66784 70958 100176 106437 133568 141916 200352 212874 267136 283832 400704 425748 534272 567664 801408 851496 1068544 1135328 1602816 1702992 2270656 3205632 3405984 4541312 6811968 9082624 13623936 18165248 27247872 54495744